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Finding the Fourth Proportional to 114,218.31, 171,315.09 and 29,986.92

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Solution

The fourth proportional to 114,218.31, 171,315.09 and 29,986.92 is: 44,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,218.31 : 171,315.09 = 29,986.92 : x
  2. Step 2: Convert to fraction form
    114,218.31/171,315.09 = 29,986.92/x
  3. Step 3: Cross multiply
    114,218.31x = 171,315.09 × 29,986.92
  4. Step 4: Simplify right side
    114,218.31x = 5,137,211,898.62
  5. Step 5: Solve for x
    x = 5,137,211,898.62/114,218.31
  6. Step 6: Final answer
    x = 44,977.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.